Question

What is the equation in point slope form of the line passing through (4,0) and (2,6)

Answer 1

To answer this question, we first need to find the slope. We can do this using the equation (y2 - y1)/(x2 - x1) and substitute in our coordinates. This would give:
(6 - 0)/(2 - 4) = 6/-2 = -3

Now we know that the x term is -3, we need to find the y-intercept. To do this, we simply substitute our coordinates into y = mx + c, along with our x term:

6 = (2 × -3) + c
6 = -6 + c
+ 6
12 = c

So your final answer is y = -3x + 12, which would be the third option of y = -3(x - 4)

I hope this helps! Let me know if you want any further explanation :)